10687005 has 64 divisors (see below), whose sum is σ = 22302720. Its totient is φ = 4753728.

The previous prime is 10686983. The next prime is 10687007. The reversal of 10687005 is 50078601.

It is not a de Polignac number, because 10687005 - 2¹⁰ = 10685981 is a prime.

It is a super-2 number, since 2×10687005² = 228424151740050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10687005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10687007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40504 + ... + 40766.

It is an arithmetic number, because the mean of its divisors is an integer number (348480).

Almost surely, 2^10687005 is an apocalyptic number.

10687005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10687005 is an abundant number, since it is smaller than the sum of its proper divisors (11615715).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10687005 is a wasteful number, since it uses less digits than its factorization.

10687005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 10687005 is about 3269.0984995867. The cubic root of 10687005 is about 220.2683021343.

The spelling of 10687005 in words is "ten million, six hundred eighty-seven thousand, five".